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Elenna [48]
3 years ago
12

The drawing below (not to scale) shows a running track. The ends are semicircles. The distance between the two inner parallel st

raight lines is 60 meters, and they are each 100 meters long. The track is 10 meters wide. Find the area of the actual track (the shaded region).

Mathematics
1 answer:
Nostrana [21]3 years ago
3 0
First we calculate the area of each semicircle (half the area of the full circle)
and we substract them to get the area of the curved shaded part

1/2 * [ pi * (80/2)**2 ] - 1/2 * [ pi * (60/2)**2 ] = (800-450)pi = 350*pi m2

the area of the full circle   (both sides) ------------2*350*pi m2--750*pi m2

The area of the straight line = 2 * (100 *10) = 2000 m2

Total Area = 2000 +700*pi m2 = 4198 m2
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in a canoe race, a team paddles downstream 480 m in 60 s. The same team makes the trip upstream in 80 s. Find the team's rate in
Vera_Pavlovna [14]
480=60(v+s) 

480=60v+60s

8=v+s

s=8-v...

480=80(v-s)  using s from above we get:

480=80(v-(8-v))

6=v-8+v

6=2v-8

2v=14

v=7, and since s=8-v, s=1

So the rate of the team is 7m/s while the rate of the stream is 1m/s





7 0
3 years ago
I need help this Question
Delicious77 [7]

Using the combination formula, it is found that the number of ways to choose the presenters is given by:

C. 462.

The order in which the presents are chosen is not important, hence the <em>combination formula</em> is used to solve this question.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, 6 students are chosen from a set of 11, hence the number of ways is given by:

C_{11,6} = \frac{11!}{6!5!} = 462

More can be learned about the combination formula at brainly.com/question/25821700

#SPJ1

8 0
2 years ago
Write the augmented matrix for each system of equations.
Virty [35]

Answer:

  see below

Step-by-step explanation:

List the coefficients and constant for an equation in one row of the matrix. The variables should be in the same order. Any missing terms are replaced by zero.

  \left[\begin{array}{ccc|c}9&-4&-5&9\\7&4&-4&-1\\6&-6&1&-5\end{array}\right]

8 0
3 years ago
Help meeeeeee its all due toad​
solniwko [45]

Well, the answer would bee 1/10 for a simple reason: the 3 in 7.315 is in the tenth's spot while the 3 in 893.5 is in the ones. a one spot different that can be proven with logic.

4 0
2 years ago
I need the answer please I don't know it
Vlad1618 [11]
Basically the question is asking you for the area of the triangle.
The formula to find the area of a triangle is base x height divided by 2.
So in this case you would do 27 x 15.5 = 418.5
Now you divide by 2 (209.25)
So the answer is D. Hope this helps!!
6 0
3 years ago
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